1/fNoise in localized systems

✍ Scribed by J.B. Pendry

• Book ID: 102618048
• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 175 KB
• Volume: 23
• Category: Article
• ISSN: 0749-6036
• DOI: 10.1006/spmi.1997.0548

✦ Synopsis

Localized systems in any dimension can be expected to show 1/ f noise in their total charge, dictated by the distribution of lifetimes of the localized states. An intuitive derivation has long been available and would appear to predict an amplitude for the noise that diverges with the localization length at the mobility edge. Using transfer matrix theory it is possible to calculate the amplitude of 1/ f noise without any unjustified assumption. The result is surprising: in three-dimensional systems the noise does not diverge at the mobility edge but vanishes discontinuously. We argue that this result sheds light on the nature of the mobility edge and gives some possible interpretations in which the conduction process is regarded as a statistically rare event. Verification of the new result offers a challenge to numerical simulation.